Question

Mass of oxygen molecule is 16 times that of a hydrogen molecule. The ratio of the total kinetic energy of the molecule of one mole of oxygen to that of one mole of h2 when both kept at 100°c, is (16:1/1:4/4:1/1:1)​

Answer 1

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GIVEN;

•Mass of oxygen molecule is 16 times of mass of hydrogen

•Number of moles of oxygen and hydrogen= 1

•Temperature=100°C

We know that,

•At a given temperature kinetic energy of different molecules are same.So the velocity of two different molecules are also same.

Thus we get;

${K.E.}_{oxygen}$=${K.E.}_{hydrogen}$

→$\frac{1}{2}$${m}_{oxygen}$v²= $\frac{1}{2}$${m}_{hydrogen}$v²

→$\frac{1}{2}$${16m}_{hydrogen}$v²= $\frac{1}{2}$${m}_{hydrogen}$v²

→Same quantity on both the side gets cancelled

We get

→${K.E.}_{oxygen}$:${K.E.}_{hydrogen}$

→16:1

•Thus the ratio of total kinetic energy of molecules of oxygen and hydrogen is in the ratio of 16:1.